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Finding the Fourth Proportional to 3,814.55, 5,725.20 and 2,252.60

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Solution

The fourth proportional to 3,814.55, 5,725.20 and 2,252.60 is: 3,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.55 : 5,725.20 = 2,252.60 : x
  2. Step 2: Convert to fraction form
    3,814.55/5,725.20 = 2,252.60/x
  3. Step 3: Cross multiply
    3,814.55x = 5,725.20 × 2,252.60
  4. Step 4: Simplify right side
    3,814.55x = 12,896,585.52
  5. Step 5: Solve for x
    x = 12,896,585.52/3,814.55
  6. Step 6: Final answer
    x = 3,380.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.